Question

Show that the following system has infinitely many solutions:

y = 4x - 3
2y - 8x = -8

Answer 1

No solution

Explanation:

y = 4x - 3

2y - 8x = -8

We put in 4x - 3 for the y

2(4x - 3) - 8x = -8

8x - 6 - 8x = -8

-6 = -8

This is not true, -6 ≠ -8, so the system has no solution.